Home » Nonfiction » Joseph L. McCauley » Chaos, Dynamics, and Fractals

December 25 , 2007

Chaos, Dynamics, and Fractals

An Algorithmic Approach to Deterministic Chaos


This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.

How to download book

Buy this book

You can buy this book now only for $45.99. This is the lowest price for this book.

Buy book

Download book free

If you want to download this book for free, please register, approve your account and get one book for free.


After that you may download book «Chaos, Dynamics, and Fractals»:

Download MobiPocket:


Download PDF:


Download ePub: